P$5-6$ Time value Isabella wishes to purchase a Nissan GTR$.$ The car costs $85,000$ today and, after completing her graduation, she has secured a well$-$paying job and is able to save for the car. The price trend indicates that its price will increase by $3\%$ to $6\%$ every year. Isabella wants to save enough to buy the car in five years from today.

a$.$ Estimate the price of the car in five years if the price increases by $(1)3\%$ per year and $(2)6\%$ per year.

b$.$ How much more expensive will the car be if the price increases by $6\%$ rather than $3\%?$